Exact analysis of the critical behaviour in the driven Dicke model of interacting atoms

S.V. Lawande, D.C. Khandekar, K.V. Bhagwat and B.N. Jagtap

Physica A: Statistical Mechanics and its Applications, 1986, vol. 134, issue 3, 598-622

Abstract: A system of N identical two-level atoms occupying the same site (the Dicke model) interacting with one another and driven by a coherent field is considered. From the known exact steady-state atomic density operator, expressions for the atomic observables, their fluctuations and correlation functions are constructed. Asymptotic analysis is used to obtain the behaviour of these atomic variables with respect to the parameters of the driving field in the thermodynamic limit N → ∞. It is shown that the interplay between the parameters of the interatomic interactions and the driving field leads to a critical behaviour as N → ∞. The conditions under which the atomic system shows either a first order or a second order phase transition with respect to the field variables are discussed.

Date: 1986
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:134:y:1986:i:3:p:598-622

DOI: 10.1016/0378-4371(86)90017-8

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